EduGoog

Time & Work

If x men can do a piece of work in 8 days and (x+4) men can do the same work in 6 days, then x is equal to

Option:
A. 6
B. 10
C. 12
D. 24
Answer: C . 12

Justification:

x men's 1 day's work = 1/8
(x + 4) men's 1 day's work = 1/6
Subtracting (i) and (ii),
4 men's 1 day's work = (1/6) - (1/8) = (4 - 3)/24 = 1/24
Now for 1/24 work, men required = 4 for 1/8 work
men required = (4 x 24) / 8 = 12 men
Hence, x = 12 men. 

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